#### Solution for 83 is what percent of 418:

83:418*100 =

(83*100):418 =

8300:418 = 19.86

Now we have: 83 is what percent of 418 = 19.86

Question: 83 is what percent of 418?

Percentage solution with steps:

Step 1: We make the assumption that 418 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={418}.

Step 4: In the same vein, {x\%}={83}.

Step 5: This gives us a pair of simple equations:

{100\%}={418}(1).

{x\%}={83}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{418}{83}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{83}{418}

\Rightarrow{x} = {19.86\%}

Therefore, {83} is {19.86\%} of {418}.

#### Solution for 418 is what percent of 83:

418:83*100 =

(418*100):83 =

41800:83 = 503.61

Now we have: 418 is what percent of 83 = 503.61

Question: 418 is what percent of 83?

Percentage solution with steps:

Step 1: We make the assumption that 83 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={83}.

Step 4: In the same vein, {x\%}={418}.

Step 5: This gives us a pair of simple equations:

{100\%}={83}(1).

{x\%}={418}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{83}{418}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{418}{83}

\Rightarrow{x} = {503.61\%}

Therefore, {418} is {503.61\%} of {83}.

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